On the Discreteness of the Spectrum of Matrix Schr\"odinger and Dirac Operators with Point Interactions
Matematičeskie zametki, Tome 110 (2021) no. 6, pp. 932-938.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mots-clés : Jacobi matrix
Keywords: deficiency indices, Schrödinger and Dirac operators, discrete spectrum, point interactions.
@article{MZM_2021_110_6_a12,
     author = {V. S. Budyka and M. M. Malamud},
     title = {On the {Discreteness} of the {Spectrum} of {Matrix} {Schr\"odinger} and {Dirac} {Operators} with {Point} {Interactions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {932--938},
     publisher = {mathdoc},
     volume = {110},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a12/}
}
TY  - JOUR
AU  - V. S. Budyka
AU  - M. M. Malamud
TI  - On the Discreteness of the Spectrum of Matrix Schr\"odinger and Dirac Operators with Point Interactions
JO  - Matematičeskie zametki
PY  - 2021
SP  - 932
EP  - 938
VL  - 110
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a12/
LA  - ru
ID  - MZM_2021_110_6_a12
ER  - 
%0 Journal Article
%A V. S. Budyka
%A M. M. Malamud
%T On the Discreteness of the Spectrum of Matrix Schr\"odinger and Dirac Operators with Point Interactions
%J Matematičeskie zametki
%D 2021
%P 932-938
%V 110
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a12/
%G ru
%F MZM_2021_110_6_a12
V. S. Budyka; M. M. Malamud. On the Discreteness of the Spectrum of Matrix Schr\"odinger and Dirac Operators with Point Interactions. Matematičeskie zametki, Tome 110 (2021) no. 6, pp. 932-938. http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a12/

[1] M. G. Krein, Dokl. AN SSSR, 69:2 (1949), 125–128 | MR | Zbl

[2] Yu. M. Berezanskii, Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, Naukova dumka, Kiev, 1965 | MR | Zbl

[3] A. G. Kostyuchenko, K. A. Mirzoev, Matem. zametki, 63:5 (1998), 709–716 | DOI | MR | Zbl

[4] Yu. M. Dyukarev, Matem. sb., 201:12 (2010), 83–92 | DOI | MR | Zbl

[5] A. S. Kostenko, M. M. Malamud, J. Differential Equations, 249:2 (2010), 253–304 | DOI | MR | Zbl

[6] R. Carlone, M. Malamud, A. Posilicano, J. Differential Equations, 254:9 (2013), 3835–3902 | DOI | MR | Zbl

[7] K. A. Mirzoev, T. A. Safonova, Matem. zametki, 99:2 (2016), 262–277 | DOI | MR | Zbl

[8] A. S. Kostenko, M. M. Malamud, D. D. Natyagailo, Matem. zametki, 100:1 (2016), 59–77 | DOI | MR | Zbl

[9] I. N. Broitigam, K. A. Mirzoev, Algebra i analiz, 30:4 (2018), 1–26

[10] V. Budyika, M. Malamud, A. Posilicano, Russ. J. Math. Phys., 24:4 (2017), 426–435 | DOI | MR | Zbl

[11] V. S. Budyka, M. M. Malamud, A. Posilikano, Dokl. AN, 479:2 (2018), 117–125 | Zbl

[12] V. S. Budyka, M. M. Malamud, Matem. zametki, 106:6 (2019), 940–945 | DOI | MR | Zbl

[13] V. S. Budyka, M. M. Malamud, Matem. zametki, 108:3 (2020), 457–462 | DOI | MR | Zbl

[14] P. A. Cojuhari, J. Janas, Acta Sci. Math. (Szeged), 73:3 (2007), 649–667 | MR | Zbl

[15] J. Janas, S. Naboko, Recent Advances in Operator Theory, Oper. Theory Adv. Appl., 124, Birkhäuser, Basel, 2001, 267–285 | MR | Zbl

[16] V. A. Derkach, M. M. Malamud, J. Funct. Anal., 95:1 (1991), 1–95 | DOI | MR | Zbl

[17] F. Gesztesy, P. Šeba, Lett. Math. Phys., 13:4 (1987), 345–358 | DOI | MR | Zbl

[18] S. Albeverio, F. Gesztesy, R. Hoegh-Krohn, H. Holden, Solvable Models in Quantum Mechanics, AMS Chelsea Publ., Providence, RI, 2005 | MR | Zbl